Linear and Nonlinear Optical Properties of Quasicrystals

An investigation is carried out on the linear and nonlinear optical properties of quasicrystals. The linear and nonlinear susceptibilities are determined for two- and three-dimensional quasicrystals. The results show that for optical linearity, two-dimensional quasicrystals are uniaxial, while icosahedral quasicrystals are optically isotropic. Meanwhile all quasicrystals, except those with 5, 5 m, N, Nmm (N = 8, 10, 12) symmetries, have no the first-order optical nonlinearity. The tensor scheme of the first-order nonlinear susceptibility is the same for these eight exceptional kinds of quasicrystals.